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10414341444 = 22313677731289
BaseRepresentation
bin10011011001011111…
…00011110101000100
3222212210102100201210
421230233203311010
5132312032411234
64441223251420
7516035304333
oct115457436504
928783370653
1010414341444
114464695961
1220278a9b70
13c9c7b0720
1470b1bbd1a
1540e455be9
hex26cbe3d44

10414341444 has 96 divisors (see below), whose sum is σ = 26614949760. Its totient is φ = 3150056448.

The previous prime is 10414341437. The next prime is 10414341463. The reversal of 10414341444 is 44414341401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8078752 + ... + 8080040.

It is an arithmetic number, because the mean of its divisors is an integer number (277239060).

Almost surely, 210414341444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414341444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307474880).

10414341444 is an abundant number, since it is smaller than the sum of its proper divisors (16200608316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10414341444 is a wasteful number, since it uses less digits than its factorization.

10414341444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10414341444 its reverse (44414341401), we get a palindrome (54828682845).

The spelling of 10414341444 in words is "ten billion, four hundred fourteen million, three hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 773 804 871 1289 1546 1742 2319 2578 2613 3092 3484 3867 4638 5156 5226 7734 9276 10049 10452 15468 16757 20098 30147 33514 40196 50271 51791 60294 67028 86363 100542 103582 120588 155373 172726 201084 207164 259089 310746 345452 518178 621492 673283 996397 1036356 1122719 1346566 1992794 2019849 2245438 2693132 2989191 3368157 3985588 4039698 4490876 5978382 6736314 8079396 11956764 12953161 13472628 25906322 38859483 51812644 66758599 77718966 133517198 155437932 200275797 267034396 400551594 801103188 867861787 1735723574 2603585361 3471447148 5207170722 10414341444